“…In [1] an algorithm was derived for solving a Vandermonde system of equations These systems, and the corresponding dual systems (3) Kra = f appear naturally, and have to be solved, in many applications. Some important examples are interpolation, construction of spline functions [3], approximation of linear functionals [1], [5], etc. In this paper a new algorithm for solving (1) will be developed which is faster, needs less storage and, from experimental results, is more accurate than that in [1].…”